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Finding the Fourth Proportional to 6,695.26, 9,233.70 and 4,174.74

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Solution

The fourth proportional to 6,695.26, 9,233.70 and 4,174.74 is: 5,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.26 : 9,233.70 = 4,174.74 : x
  2. Step 2: Convert to fraction form
    6,695.26/9,233.70 = 4,174.74/x
  3. Step 3: Cross multiply
    6,695.26x = 9,233.70 × 4,174.74
  4. Step 4: Simplify right side
    6,695.26x = 38,548,281.08
  5. Step 5: Solve for x
    x = 38,548,281.08/6,695.26
  6. Step 6: Final answer
    x = 5,757.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.